So I'm trying out something new with the name of the cards (so they aren't too long) and trying something new with interview cards so hopefully this is more helpful for you all

Variety Shows9 through 30 July 2013: "All That Kpop" on MBC Music: Sungjun appeared on episodes 36, 37 and, together with Minsu, appeared on episode 38 as guests. I could not find any video for this unfortunately
24 October 2013: "Shanghai TV" on 韩娱星动态: all members appeared as guests. -> HERE1 November 2013: "The Three Colors of Korea" on KBS World: all members appeared on episode 6 as guests. -> HERE16 January 2014: "Idol Battle - 2014 I'm a Star Too" on Mnet: all members appeared on episode 1. I could not find any video for this unfortunately
15 April 2014: "After School Club" on Arirang: all members appeared in episode 59 as guests. -> HERE9 April through 21 May 2014: "MBC Idol Dance Battle D-Style" on MBC Music: Sungjun appeared as a competitor. -> HERE -> HERE -> HERE & -> HERE16 April 2014: "Olala School 2" on Tooniverse - Onejunn, Sunwoo, Minsu, and Suwoong appeared in episode 13 as guests. I could not find any video for this unfortunately
3 May and 14 June 2014: "Let's Go! Dream Team II" on KBS World - Suwoong. -> HERE He may have been on other times but this is what I could find
19 and 26 June 2014: "Rose TV" on MBCEvery1 - all members appeared in episodes 20 and 21 as guests. One Junn and Suwoong also appeared as guests during the 19th episode, which they touch on the topic "Love & Dating". I could not find any video for this unfortunately
30 September through 21 October 2014: "Idol School" on MBS MUSIC - all members appeared in episodes 6, 8, and 9. -> HERE -> HERE & -> HERE5 January 2015: "Yaman TV" on Mnet - all members appeared on episode 1. -> HERE14 January 2015: "Weekly Idol" on MBC Every1 - all members appeared on episode 181. -> HERE30 January 2015 : A Song for You 3 on KBS World- all members appear on episode 22 with BESTie. -> HERE17 April 2016 : "King of Mask Singer" on MBC - Onejunn as "Oh! Chandelier" on episode 55. -> HERE & -> HERE

Game Shows12 November 2013: "1 vs. 100" on KBS2 - Onejunn and Minsu. I could not find any video for this unfortunately
Radio Shows14 July 2013: "Sound K" on Arirang Radio: all members. -HERE22 October 2013: "Super K-Pop" on Arirang Radio: all members. -> HERE26 February 2014: "Kpoppin'" on Arirang Radio: all members. -> HERE6 March 2014: "Shindong's Shimshimtapa" on MBC Radio: Onejunn and Suwoong. -> HERE28 July 2014: "Kpoppin'" on Arirang Radio: all members. -> HERE25 August 2014: "Sound K" on Arirang Radio: all members. I could not find any video for this unfortunaly
17 November 2014: "Super K-Pop" on Arirang Radio: all members. -> HERE27 December 2014: "Joonyoung's Shimshimtapa" on MBC Radio: all members. I could not find any video for this unfortunately
Those are them main ones I have for you, you can find any other interviews by searching for Boys Republic interviews on YouTube or checking below :)